$d + i d$ superconductivity on the honeycomb bilayer

We demonstrate that for interlayer attractive interactions on bilayer honeycomb lattice with large interlayer hopping, a time reversal symmetry breaking $d$-wave topological superconductor is a dominant phase. We find that small momentum order parameter expansion has $d_{x^2-y^2} + i d_{xy}$ symmetry around both Dirac points and discuss a possible relevance of this state for experiments on graphene bilayer.